# While sliding a couch across a

While sliding a couch across a floor, Hannah and Andrea exerts forces Fh and Fa on the couch. Hannah’s force is due north with a magnitude of Fh=71 N and Andrea’s force is theta= 36 degrees east of north with a magnitude of Fa = 335N. In this problem, use a coordinate system with y directed north and x directed east.

a) Find the net force in the y-direction in Newtons.

b) Find the net force in the x-direction in Newtons.

c) Calculate the angle in degrees north of east of the net force exerted on the couch by Hannah and Andrea, Fha

d) Hannah and Andrea’s housemates, David and Stephanie disagree with the move and want to prevent its relocation. Their combined force Fds must be equal and opposite to that of Fha. What is the magnitude in Newtons of the force Fds which will prevent the relocation.

# While sliding a couch across a

While sliding a couch across a floor, Hannah and Andrea exerts forces F⃗HF→H and F⃗AF→A on the couch. Hannah’s force is due north with a magnitude of FH = 141 N and Andrea’s force is θ = 26° east of north with a magnitude of FA = 241 N. In this problem, use a coordinate system with y directed north and x directed east.

1. Find the net force in the y-direction in Newtons.

2.  Calculate the angle in degrees north of east of the net force exerted on the couch by Hannah and Andrea, F⃗HAF→HA.

3.  Hannah and Andrea’s housemates, David and Stephanie disagree with the move and want to prevent its relocation. Their combined force F⃗DSF→DS must be equal and opposite to that of F⃗HAF→HA. What is the magnitude in Newtons of the force F⃗DSF→DS which will prevent the relocation?

4. Find the net force in the x-direction in Newtons.

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